54468864000 has 576 divisors, whose sum is σ = 200906334720. Its totient is φ = 14187724800.

The previous prime is 54468863963. The next prime is 54468864019. The reversal of 54468864000 is 46886445.

54468864000 is a `hidden beast` number, since 544 + 68 + 8 + 6 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108287749 + ... + 108288251.

It is an arithmetic number, because the mean of its divisors is an integer number (348795720).

Almost surely, 2^54468864000 is an apocalyptic number.

54468864000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54468864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100453167360).

54468864000 is an abundant number, since it is smaller than the sum of its proper divisors (146437470720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54468864000 is a wasteful number, since it uses less digits than its factorization.

54468864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 54468864000 in words is "fifty-four billion, four hundred sixty-eight million, eight hundred sixty-four thousand".